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Finding the Fourth Proportional to 188,720.64, 260,434.44 and 103,835.88

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Solution

The fourth proportional to 188,720.64, 260,434.44 and 103,835.88 is: 143,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,720.64 : 260,434.44 = 103,835.88 : x
  2. Step 2: Convert to fraction form
    188,720.64/260,434.44 = 103,835.88/x
  3. Step 3: Cross multiply
    188,720.64x = 260,434.44 × 103,835.88
  4. Step 4: Simplify right side
    188,720.64x = 27,042,439,259.71
  5. Step 5: Solve for x
    x = 27,042,439,259.71/188,720.64
  6. Step 6: Final answer
    x = 143,293.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.